I was just curious about the taylor series

What would you like to know?

]]>I was just curious about the taylor series

I mean, about the Gamma function -- is it for a particular class?

]]>So,will the taylor series give the same result as the integral's.

They will give you a (very good) approximation to the integral, yes.

May I ask what this is for?

]]>but note that

so our integral becomes

I can do that becaues e[sup]i[/sup] is just a constant. Can you see where to go from here?

]]>This is quite close for only two terms of a Taylor series.

]]>Thus, since

then it follows that

so you can use that to find values of the gamma function at 5/2, 7/2, etc.

]]>Only certain values yield nice results like that. For say Gamma(10 + 1/3 ) you will have to resort to numerical methods.

]]>Was any part of my explanation unclear?

]]>